Question

The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1000 voters in the town and found that 29% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 26%. State the null and alternative hypotheses.

Ho:__________

Ha: __________

Answer 1

Null hypothesis is the hypothesis of no difference and here the political strategist want to test that percentage of residents who favor annexation is more than 26% or not.

Let P be the proportion of residents who favor the annexation t

Hence null hypothesis, $H_{0}:P=0.26$

alternative hypothesis,$H_{1}:P>0.26$